PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 19, Problem 2P
To determine
To show:
The angular momentum of the body computed about the instantaneous center of zero velocity IC equals to
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The assembly weighs 10 lblb and has a radius of gyration kGkGk_G = 0.60 ftft about its center of mass GG. The kinetic energy of the assembly is 25 ft⋅lbft⋅lb when it is in the position shown. (Figure 1)
If it rolls counterclockwise on the surface without slipping, determine its linear momentum at this instant.
The link AC (6 kg) rotates in the vertical plane about the point B. A spring (k = 600 N/m, points C to
D) of unstretched length 225 mm is fixed to the link as shown. If the link is released from rest in the position
shown below, determine its angular velocity after it has rotated 90°. You may take the moment of inertia of the
link AC about its mass center as Igac =÷ml?.
180
900 mm
The dynamic system is initially at rest. The rod has a mass of m=0.5kg and a length of L=1m. The CG of the rod is located at G, and the rod is rotated about the point O, a distance, h=0.25m, away from point G.
At the time of releasing find
a. Acceleration at the CG (point G)
b. Reaction at O (Use moment of inertia of the rod I= mL2/12)
Chapter 19 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 19 - The 60-kg wheel has a radius of gyration about its...Ch. 19 - Prob. 2FPCh. 19 - Prob. 3FPCh. 19 - Gears A and B of mass 10 kg and 50 kg have radii...Ch. 19 - The 50-kg spool is subjected to a horizontal force...Ch. 19 - Prob. 6FPCh. 19 - The rigid body (slab) has a mass m and rotates...Ch. 19 - Prob. 2PCh. 19 - Show that if a slab is rotating about a fixed axis...Ch. 19 - Prob. 21P
Ch. 19 - The two gears A and B have weights and radii of...Ch. 19 - The 30-kg gear is subjected to a force of P =...Ch. 19 - Prob. 27PCh. 19 - The turntable T of a record player has a mass of...Ch. 19 - The 10-g bullet having a velocity of 800 m/s is...Ch. 19 - Prob. 31PCh. 19 - Disk A has a weight of 20 lb. An inextensible...Ch. 19 - The 12-kg rod AB is pinned to the 40-kg disk. If...Ch. 19 - A thin rod of mass m has an angular velocity o...Ch. 19 - Prob. 41PCh. 19 - Prob. 42PCh. 19 - Prob. 44PCh. 19 - The 10-lb block is sliding on the smooth surface...Ch. 19 - Prob. 46PCh. 19 - The pendulum consists of a 15-kg solid ball and...Ch. 19 - Prob. 48PCh. 19 - The 20-kg disk strikes the step Without...Ch. 19 - The solid ball of mass m is dropped with a...Ch. 19 - Prob. 54PCh. 19 - Prob. 55PCh. 19 - Prob. 56PCh. 19 - Prob. 58PCh. 19 - The cable is subjected to a force of P = (10t2)...Ch. 19 - Prob. 2RPCh. 19 - The tire has a mass of 9 kg and a rad1us of...Ch. 19 - Prob. 4RPCh. 19 - The spool has a weight of 30 lb and a radius of...Ch. 19 - Prob. 6RPCh. 19 - Prob. 7RPCh. 19 - Prob. 8RP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- In the system shown, the mass at A is 10 kg and that at B is 5 kg. The mass-moment of inertia of the pulley about point C is 8 kg.m2. At the instant shown, mass A is moving downwards at 5.3 m/s. Find the total kinetic energy of the system. Neglect friction. Write your answer in Joules but do not write the units. 0.15 m B 0.1 m A Answer: Tavlor Te a mnarrow_forwardIn his mission as a spy, Loid Forger fired a bullet weighing mB = 0.007 kg with a horizontal speed of VB= 550 m/s into the lower end of a gate which can be modeled into a slender m=16-kg bar of length L=1.5m for simplified analysis only. Know that h=0.25 m and that the gate, which has a pin connection at point C, is initially at rest. The bullet becomes embedded into the gate after impact. 1.5 m с A D 0.25 m VB= 550 m/sarrow_forwardFor the three scenarios shown below, determine the angular velocity about point O, if each rigid body has the same angular momentum of 0.1 kg-m²/s. System 1: r = 45 cm, m = 600 g. System 2: rod L = 90 cm, m = 350 g. System 3: rod length, d = 67 cm, m = 630 g. (0) 00₂ L2 G L2 2 3 2 Garrow_forward
- The four balls, each of mass m = 2.8 kg, are rigidly mounted to the rotating frame and shaft, which are initially rotating freely about the vertical z-axis at the angular rate of 15.7 rad/s clockwise when viewed from above. The distances r = 0.28 m and R = 0.57 m. If a constant torque M = 25.7 N-m is applied to the shaft, calculate the time t to reverse the direction of rotation and reach an angular velocity 0 = 15.7 rad/s in the same sense as M. 3 m R Answer: t = i - R M m m Sarrow_forward17. The 200 N force acts on the cylinder (radius = 20 cm, 80 kg) shown as it moves from rest with no slipping. The velocity of the center of the cylinder mass = 200 N after it moves 2.0 m is m/sarrow_forward2. The spheres have a mass of 7.50 kg each and are moving at v = 3.50 m/s at time t = 0 as shown. The shaft and frame have negligible mass. A time dependent driving moment M=4-t² is applied. Calculate the speed of the spheres at time t = 6.00 s. M 0.5 marrow_forward
- The four balls, each of mass m = 2.3 kg, are rigidly mounted to the rotating frame and shaft, which are initially rotating freely about the vertical z-axis at the angular rate of 19.5 rad/s clockwise when viewed from above. The distances r = 0.25 m and R = 0.52 m. If a constant torque M = 23.1 N·m is applied to the shaft, calculate the time t to reverse the direction of rotation and reach an angular velocity = 19.5 rad/s in the same sense as M. m R m r M m R marrow_forward*The rod shown weighs 100N. The rod falls from the position shown. Determine the kinetic energy of the bar just before hitting the support on the right (hint: the bar would be horizontal at that time). At that instant, what is the velocity of the bar's center of mass and the velocity of the bar tip? 1. y 45°arrow_forwardDraw the impulse-momentum diagram and line of action for e. Solve for the following: 1. Determine the angular velocity of the slender bar (B) immediately after impact. angular velocity of A = 57.1 rad/s since there is no external torque 2. Determine the linear velocities of both the sphere (A) and the slender bar (B) immediately after impact at their centroids ANSWERS I GOT BUT ARE INCORRECT: (the unit is given) angular velocity of the slender bar (B) immediately after impact: 8.089 rad/s , 18.49 rad/s linear velocity of the sphere (A) immediately after impact at the centroid: 0.485 rad/s^2, 0.16 rad/s^2, 2.11 rad/s^2 linear velocity of the slender bar (B) immediately after impact at the centroid: 0.485 rad/s^2, 0.49 rad/s^2, 2.21 rad/s^2arrow_forward
- Q2/ The slotted arm revolves about a normal axis through point O with a constant angular velocity w.The path radius of the center of the pin A varies according to r = 20+ 2sin(nwt)where n is the number of lobes = 6 in this case. pin A If w=12 rad/s, and the spring compression varies from 11.5 N to 19.1 N, calculate the force R between the cam and the 0.1 kg pin A when it passes over the top of the lobe in the position shownarrow_forward11m 3m 9m A K- 7m What is the mass moment of Inertia about the "A axis" (orange) of a cuboid with cylindrical hole drilled through the centre of a face as shown in the figure. The mass of the cuboid before the hole was drilled M1 = 12kg and after the hole was drilled M2 = 6. 6kg.arrow_forward3. A thin piece of metal of mass 80 g has the cross section shown in Fig. 17. Find the moment and products of inertia for the axes Ox and Oy. Through what angles must these axes be rotated to coincide with the principal axes? Suppose the body is rotating at a given instant about the Ox axis with an angular velocityarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY